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Finding the Third Proportional to 459,109 and 996,845

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Solution

The third proportional to 459,109 and 996,845 is: 2,164,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,109 : 996,845 = 996,845 : x
  2. Step 2: Convert to fraction form
    459,109/996,845 = 996,845/x
  3. Step 3: Cross multiply
    459,109x = 996,845 × 996,845
  4. Step 4: Simplify right side
    459,109x = 993,699,954,025
  5. Step 5: Solve for x
    x = 993,699,954,025/459,109
  6. Step 6: Final answer
    x = 2,164,409.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.